68 citations · 68 across the 2 of their papers we have counts for
8 papers
Fock spaces and refined Severi degrees
Florian Block, Lothar Göttsche
A convex lattice polygon Delta determines a pair (S,L) of a toric surface together with an ample toric line bundle on S. The Severi degree N^{Delta,delta} is the number of delta-no…
Refined curve counting with tropical geometry
Florian Block, Lothar Göttsche
The Severi degree is the degree of the Severi variety parametrizing plane curves of degree d with delta nodes. Recently, Göttsche and Shende gave two refinements of Severi degrees,…
Computing Severi Degrees with Long-edge Graphs
Florian Block, Susan Jane Colley, Gary Kennedy
We study a class of graphs with finitely many edges in order to understand the nature of the formal logarithm of the generating series for Severi degrees in elementary combinatoria…
Counting Algebraic Curves with Tropical Geometry
Florian Block
Tropical geometry is a piecewise linear "shadow" of algebraic geometry. It allows for the computation of several cohomological invariants of an algebraic variety. In particular, it…
Universal Polynomials for Severi Degrees of Toric Surfaces
Federico Ardila, Florian Block
The Severi variety parameterizes plane curves of degree d with delta nodes. Its degree is called the Severi degree. For large enough d, the Severi degrees coincide with the Gromov-…
Relative Node Polynomials for Plane Curves
Florian Block
We generalize the recent work of S. Fomin and G. Mikhalkin on polynomial formulas for Severi degrees. The degree of the Severi variety of plane curves of degree d and delta nodes i…